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Bernstein Operators and Their Properties / by Jorge Bustamante
版 | 1st ed. 2017. |
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出版者 | (Cham : Springer International Publishing : Imprint: Birkhäuser) |
出版年 | 2017 |
大きさ | XII, 420 p : online resource |
著者標目 | *Bustamante, Jorge author SpringerLink (Online service) |
件 名 | LCSH:Approximation theory FREE:Approximations and Expansions |
一般注記 | Preface -- Preliminaries -- Basic properties of Bernstein operators -- Bernstein polynomials as linear operators -- Upper estimates of the error with Bernstein operators -- Bernstein type inequalities -- Converse results -- Iterates of Bernstein polynomials -- Linear combination of Bernstein polynomials -- Final comments This book provides comprehensive information on the main aspects of Bernstein operators, based on the literature to date. Bernstein operators have a long-standing history and many papers have been written on them. Among all types of positive linear operators, they occupy a unique position because of their elegance and notable approximation properties. This book presents carefully selected material from the vast body of literature on this topic. In addition, it highlights new material, including several results (with proofs) appearing in a book for the first time. To facilitate comprehension, exercises are included at the end of each chapter. The book is largely self-contained and the methods in the proofs are kept as straightforward as possible. Further, it requires only a basic grasp of analysis, making it a valuable and appealing resource for advanced graduate students and researchers alike HTTP:URL=https://doi.org/10.1007/978-3-319-55402-0 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783319554020 |
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電子リソース |
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EB00202145 |
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※2017年9月4日以降